Simplify Square Root of 1344

Here we will show you step-by-step how to simplify the square root of 1344. The square root of 1344 can be written as follows:


	√	1344

The √ symbol is called the radical sign. To simplify the square root of 1344 means to get the simplest radical form of √1344.

Step 1: List Factors
List the factors of 1344 like so:

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672, 1344

Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:

1, 4, 16, 64

Step 3: Divide
Divide 1344 by the largest perfect square you found in the previous step:

1344 / 64 = 21

Step 4: Calculate
Calculate the square root of the largest perfect square:

√64 = 8

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1344 in its simplest form:


8	√	21

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Decimal Form
Square Root of 1344 in Decimal form rounded to nearest 5 decimals:

36.66061

Exponent Form
Square Root of 1344 written with Exponent instead of Radical:

1344^½ = 8 x 21^½

Simplify Square Root of 1345
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* List of Perfect Squares